255012200820 has 576 divisors, whose sum is σ = 892608837120. Its totient is φ = 58413809664.

The previous prime is 255012200783. The next prime is 255012200881. The reversal of 255012200820 is 28002210552.

255012200820 is a `hidden beast` number, since 2 + 550 + 12 + 20 + 0 + 82 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 969628009 + ... + 969628271.

It is an arithmetic number, because the mean of its divisors is an integer number (1549668120).

Almost surely, 2^255012200820 is an apocalyptic number.

255012200820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255012200820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446304418560).

255012200820 is an abundant number, since it is smaller than the sum of its proper divisors (637596636300).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

255012200820 is a wasteful number, since it uses less digits than its factorization.

255012200820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 255012200820 in words is "two hundred fifty-five billion, twelve million, two hundred thousand, eight hundred twenty".